75705252 has 24 divisors (see below), whose sum is σ = 201880896. Its totient is φ = 21630048.

The previous prime is 75705251. The next prime is 75705263. The reversal of 75705252 is 25250757.

It is not an unprimeable number, because it can be changed into a prime (75705251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450543 + ... + 450710.

It is an arithmetic number, because the mean of its divisors is an integer number (8411704).

Almost surely, 2^75705252 is an apocalyptic number.

It is an amenable number.

75705252 is an abundant number, since it is smaller than the sum of its proper divisors (126175644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75705252 is a wasteful number, since it uses less digits than its factorization.

75705252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901267 (or 901265 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 33.

The square root of 75705252 is about 8700.8765075709. The cubic root of 75705252 is about 423.0340610479.

It can be divided in two parts, 75705 and 252, that added together give a palindrome (75957).

The spelling of 75705252 in words is "seventy-five million, seven hundred five thousand, two hundred fifty-two".